12801146581161 has 15 divisors (see below), whose sum is σ = 19122748550983. Its totient is φ = 8534076253560.

The previous prime is 12801146581151. The next prime is 12801146581163. The reversal of 12801146581161 is 16118564110821.

The square root of 12801146581161 is 3577869.

It is a perfect power (a square), and thus also a powerful number.

12801146581161 is a `hidden beast` number, since 1 + 2 + 8 + 0 + 1 + 1 + 4 + 6 + 581 + 1 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 304780180761 + 12496366400400 = 552069^2 + 3535020^2 .

It is not a de Polignac number, because 12801146581161 - 2⁵ = 12801146581129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12801146581163) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 32002051 + ... + 32399591.

Almost surely, 2^{12801146581161} is an apocalyptic number.

12801146581161 is the 3577869-th square number.

12801146581161 is the 1788935-th centered octagonal number.

It is an amenable number.

12801146581161 is a deficient number, since it is larger than the sum of its proper divisors (6321601969822).

12801146581161 is an frugal number, since it uses more digits than its factorization.

12801146581161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795094 (or 397544 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 45.

The spelling of 12801146581161 in words is "twelve trillion, eight hundred one billion, one hundred forty-six million, five hundred eighty-one thousand, one hundred sixty-one".